More Like this

1. Double-scaled SYK and de Sitter holography

   https://doi.org/10.1007/JHEP05(2025)032  

   Narovlansky, Vladimir; Verlinde, Herman (May 2025, Journal of High Energy Physics)

   A<sc>bstract</sc> We propose a new model of low dimensional de Sitter holography in the form of a pair of double-scaled SYK models at infinite temperature coupled via an equal energy constraintH_L=H_R. As a test of the duality, we compute the two-point function between two dressed SYK operators$$ {\mathcal{O}}_{\Delta } $$ $O_{\text{∆}}$that preserve the constraint. We find that in the largeNlimit, the two-point function precisely matches with the Green’s function of a massive scalar field of mass squaredm²= 4∆(1 – ∆) in a 3D de Sitter space-time with radiusR_dS/G_N= 4πN/p². In this correspondence, the SYK time is identified with the proper time difference between the two operators. We introduce a candidate gravity dual of the doubled SYK model given by a JT/de Sitter gravity model obtained via a circle reduction from 3D Einstein-de Sitter gravity. We comment on the physical meaning of the finite de Sitter temperature and entropy. 

   more » « less
2. SYK correlators from 2D Liouville-de Sitter gravity

   https://doi.org/10.1007/JHEP05(2025)053  

   Verlinde, Herman; Zhang, Mengyang (May 2025, Journal of High Energy Physics)

   A<sc>bstract</sc> We introduce and study a candidate gravity dual to the double scaled SYK model in the form of an exactly soluble 2D de Sitter gravity model consisting of two spacelike Liouville CFTs with complex central charge adding up toc₊+c₋= 26. In [1] it was shown that the two-point function of physical operators in a doubled SYK model matches in the semi-classical limit with the Green’s function of a massive scalar field in 3D de Sitter space. As further evidence of the duality, we adapt a result from Zamolodchikov to compute the boundary two-point function of the 2D Liouville-de Sitter gravity model on a disk and find that it reproduces the exact DSSYK two-point function to all orders inλ=p²/N. We describe how the 2D Liouville-de Sitter gravity model arises from quantizing 3D de Sitter gravity. 

   more » « less
3. Scrambling in Double-Scaled SYK and De Sitter Space

   Susskind, Leonard (April 2022, ArXivorg)

   I want to call attention to a simple previously noted fact about the double-scaled version of the SYK model which suggests that it may be holographically dual to de Sitter space. 

   more » « less
4. Infinite Temperature's Not So Hot

   Lin, Henry; Susskind, Leonard (June 2022, ArXivorg)

   It has been argued that the entanglement spectrum of a static patch of de Sitter space must be flat, or what is equivalent, the temperature parameter in the Boltzmann distribution must be infinite. This seems absurd: quantum fields in de Sitter space have thermal behavior with a finite temperature proportional to the inverse radius of the horizon. The resolution of this puzzle is that the behavior of some quantum systems can be characterized by a temperature-like quantity which remains finite as the temperature goes to infinity. For want of a better term we have called this quantity tomperature. In this paper we will explain how tomperature resolves the puzzle in a proposed toy model of de Sitter holography -- the double-scaled limit of SYK theory. 

   more » « less
5. Large p SYK from chord diagrams

   https://doi.org/10.1007/JHEP09(2023)154  

   Mukhametzhanov, Baur (September 2023, Journal of High Energy Physics)

   A<sc>bstract</sc> The p-body SYK model at finite temperature exhibits submaximal chaos and contains stringy-like corrections to the dual JT gravity. It can be solved exactly in two different limits: “large p” SYK 1 ≪p≪Nand “double-scaled” SYKN,p → ∞withλ= 2p²/Nfixed. We clarify the relation between the two. Starting from the exact results in the double-scaled limit, we derive several observables in the large p limit. We compute euclidean 2n-point correlators and out-of-time-order four-point function at long lorentzian times. To compute the correlators we find the relevant asymptototics of the$$ {\mathcal{U}}_q\left( su\left(1,1\right)\right) $$ $U_q\left(\mathrm{su}\left(1,1\right)\right)$6j-symbol. 

   more » « less